Please do number 3 ### Problem 1A triangle wave varies as shown below over one period. Compute the RMS (Root Mean Square) of this wave. What is the average power dissipated if this voltage is placed across a 5 Ω resistor?#### Graph Description- **Type**: Voltage vs. Time graph of a triangle wave.- **Voltage (V)**: Plotted on the vertical axis ranging from 0 V to 5 V.- **Time (s)**: Plotted on the horizontal axis ranging from 0 s to 0.2 s.- **Waveform**: A linear increase from 0 V to 5 V at 0.1 s, followed by a linear decrease back to 0 V at 0.2 s.### Problem 2A square wave with an amplitude of 1 V has a duty cycle of 50% (i.e., it is at 1 V 50% of the time and 0 V the other 50% of the time). What is the Vrms of this signal?### Problem 3Compute \(V_1 + V_2\), \(V_1 - V_2\), \(V_1 \times V_2\), and \(V_1/V_2\) for the phasors \(V_1 = 2∠45°\) and \(V_2 = 5∠−60°\). Express the final results in both phasor form and Cartesian form (a+bj).

Answered: Image /qna-images/answer/30162be1-172b-43b1-a931-f71179729336.jpg

Answered: 3. Compute V₁ + V₂, V₁ − V₂, V₁ * V₂,…

3. Compute V₁ + V₂, V₁ − V₂, V₁ * V₂, and V₁/V₂ for the phasors V₁ = 2245° and V₂ = 52 - 60°. Express the final results in both phasor form and cartesian form (a+bj).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).

Question

Please do number 3

### Problem 1
A triangle wave varies as shown below over one period. Compute the RMS (Root Mean Square) of this wave. What is the average power dissipated if this voltage is placed across a 5 Ω resistor?

#### Graph Description
- **Type**: Voltage vs. Time graph of a triangle wave.
- **Voltage (V)**: Plotted on the vertical axis ranging from 0 V to 5 V.
- **Time (s)**: Plotted on the horizontal axis ranging from 0 s to 0.2 s.
- **Waveform**: A linear increase from 0 V to 5 V at 0.1 s, followed by a linear decrease back to 0 V at 0.2 s.

### Problem 2
A square wave with an amplitude of 1 V has a duty cycle of 50% (i.e., it is at 1 V 50% of the time and 0 V the other 50% of the time). What is the Vrms of this signal?

### Problem 3
Compute \(V_1 + V_2\), \(V_1 - V_2\), \(V_1 \times V_2\), and \(V_1/V_2\) for the phasors \(V_1 = 2∠45°\) and \(V_2 = 5∠−60°\). Express the final results in both phasor form and Cartesian form (a+bj).

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